| Description |
1 online resource (xiv, 556 pages) : illustrations |
| Contents |
Plenary lectures. 1. Evaluation of Sylvester type determinants using orthogonal polynomials / R. Askey. 2. Geometric analysis on subRiemannian manifolds / O. Calin, D.C. Chang and P. Greiner. 3. A survey of Hardy type theorems / S. Thangavelu -- Approximation theory. 4. Optimal sk-spline approximation of Sobolev's classes on the 2-sphere / C. Grandison and A. Kushpel. 5. sk-spline approximation on the Torus / A. Kushpel. 6. Entropy numbers of Sobolev and Besov classes on homogeneous spaces / A. Kushpel and S. Tozoni. 7. Operator equations and best approximation problems in reproducing kernel Hilbert spaces with Tikhonov regularization / S. Saitoh, T. Matsuura and M. Asaduzzaman -- Banach apaces of analytic functions. 8. Finite Fourier transforms and the zeros of the Riemann [symbol]-function / G. Csordas and C.C. Yang. 9. B[symbol], Q[symbol] spaces and harmonic majorants / E. Ramirez de Arellano, L.F. Resendis O. and L.M. Tovar S. 10. The (t, [symbol])-lattice and decomposition theory for function spaces / Irfan Ul-haq and Zhijian Wu -- Boundary value problems and integral equations. 11. On a generalization of the N.A. Davydov theorem / O.F. Gerus and M. Shapiro. 12. Dual integral equations method for some mixed boundary value problems / J.M. Rappoport. 13. One parameter-dependent nonlinear elliptic boundary value problems arising in population dynamics / K. Umezu -- Complex and functional analytic methods in partial differential equations. 14. Combined integral representations / H. Begehr. 15. Remarks on quantum differential operators / R. Carroll. 16. The inverse monodromy problem in a class of Knizhnik-Zamolodchikov equations / V. Golubeva. 17. Reduction of two dimensional Neumann and mixed boundary value problems to Dirichlet boundary value problems / M. Jahanshahi. 18. Lipschitz type inequalities for a domain dependent Neumann Eigenvalue problem for the Laplace operator / Pier Domenico Lamberti and Massimo Lanza de Cristoforis. 19. Half Robin problems for the Dirac operator in the unit ball of R[symbol](m[symbol]3) / Zhenyuan Xu -- Harmonic analysis and partial differential equations. 20. Problems related to the analytic representation of tempered distributions / C. Carton-Lebrun. 21. Strong unique continuation for generalized Baouendi-Grushin operators / N. Garofalo and D. Vassilev. 22. Schoenberg's theorem for positive definite functions on Heisenberg groups / J. Kim and M.W. Wong. 23. Weak and strong solutions for pseudo-differential operators / M.W. Wong -- Hemivariational inequalities and applications. 24. Comparison results for quasilinear elliptic hemivariational inequalities / S. Carl. 25. Hemivariational inequalities modeling dynamic viscoelastic contact problems with friction / S. Migorski. 26. Sensitivity analysis for generalized variational and hemivariational inequalities / B.S. Mordukhovich -- Hyperbolic problems : degeneracies, nonlinearities and global existence. 27. A smoothing property of Schrodinger equations and a global existence result for derivative nonlinear equations / M. Sugimoto and M. Ruzhansky. 28. Existence and blow up for a wave equation with a cubic convolution / K. Tsutaya. 29. Zeros and signs of solutions for some reaction-diffusion systems / H. Uesaka -- Inverse problems. 30. Constructions of approximate solutions for linear differential equations by reproducing kernels and inverse problems / M. Asaduzzaman, T. Matsuura and S. Saitoh. 31. Ultrasound as a diagnostic tool to determine osteoporosis / J.L. Buchanan, R.P. Gilbert and Y. Xu. 32. Remarks on quantum KdV / R. Carroll. 33. A mathematical model of ductal carcinoma in situ and its characteristic patterns / Y. Xu -- Nonlinear analysis and applications. 34. Classical dynamics of quantum variations / M. Kondratieva and S. Sadov -- Orthogonal polynomials and special functions. 35. On the zeros of a transcendental function / M.V. DeFazio and M.E. Muldoon. 36. Evaluation of Sylvester type determinants using block-triangularization / O. Holtz. 37. Square summability with geometric weight for classical orthogonal expansions / D. Karp. 38. The first positive zeros of cylinder functions and of their derivatives / L. Lorch -- Reproducing kernels and related topics. 39. Bergman kernel for complex harmonic functions on some balls / K. Fujita. 40. Applications of reproducing kernels to best approximations, Tikhonov regularizations and inverse problems / S. Saitoh. 41. Equality conditions for general norm inequalities in reproducing kernel Hilbert spaces / A. Yamada -- Time-frequency analysis, wavelets and applications. 42. Comparing multiresolution SVD with other methods for image compression / R. Ashino [and others]. 43. Non-translation-invariance in principal shift-invariant spaces / J.A. Hogan and J.D. Lakey. 44. Time-frequency spectra of music / J.S. Walker and A.J. Potts -- Toeplitz-like structures in analysis and applied sciences. 45. Dynamics of spectra of Toeplitz operators / S. Grudsky and N. Vasilevski. 46. Operator equalities for singular integral operators and their applications / O. Karelin -- Value distributions of complex functions, generalizations and related topics. 47. On sets of range uniqueness for entire functions / M.T. Alsugaray. 48. Analytic mappings in the tree Mult(K[x]) / K. Boussaf, A. Escassut and N. Mainetti. 49. Using level curves to count non-real zeros of f" / S. Edwards. 50. The functional equation P(f) = Q(g) in a p-Adic field / A. Escassut and C.C. Yang. 51. Conjectures and counterexamples in dynamics of rational semigroups / R. Stankewitz, T. Sugawa and H. Sumi |
| Summary |
This authoritative volume comprises the plenary lectures and articles by many of the field's leading researchers who were brought together for the fourth time at the congress of the International Society for Analysis, its Applications and Computation (ISAAC). A wide spectrum of topics in modern analysis is covered by the fully refereed contributions, such as complex analysis, nonlinear analysis, inverse problems, wavelets, signals and images. In particular, important areas - not given special emphasis in previous meetings - include special functions and orthogonal polynomials, harmonic analysis, and partial differential equations |
| Bibliography |
Includes bibliographical references |
| Notes |
English |
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Print version record |
| Subject |
Mathematical analysis -- Congresses
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MATHEMATICS -- Calculus.
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MATHEMATICS -- Mathematical Analysis.
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Mathematical analysis
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| Genre/Form |
Conference papers and proceedings
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| Form |
Electronic book
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| Author |
Begehr, Heinrich G. W
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| ISBN |
9789812701732 |
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9812701737 |
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1281897329 |
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9781281897329 |
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9786611897321 |
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6611897321 |
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